38167668 has 144 divisors (see below), whose sum is σ = 123177600. Its totient is φ = 9878400.

The previous prime is 38167667. The next prime is 38167673. The reversal of 38167668 is 86676183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38167663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135688 + ... + 135968.

It is an arithmetic number, because the mean of its divisors is an integer number (855400).

Almost surely, 2^38167668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38167668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61588800).

38167668 is an abundant number, since it is smaller than the sum of its proper divisors (85009932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38167668 is a wasteful number, since it uses less digits than its factorization.

38167668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 304 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 38167668 is about 6177.9987050824. The cubic root of 38167668 is about 336.6912851106.

The spelling of 38167668 in words is "thirty-eight million, one hundred sixty-seven thousand, six hundred sixty-eight".